Question

write the coordinates of the vertices after a translation 3 units left.

Explanation:

Step1: Find original coordinates

From the graph, \(K(-7,1)\), \(L(-7,10)\), \(M(-5,1)\).

Step2: Apply translation rule

Translation 3 units left: subtract 3 from \(x\) - coordinate.
For \(K\): \(x=-7 - 3=-10\), \(y = 1\), so \(K'(-10,1)\).
For \(L\): \(x=-7 - 3=-10\), \(y = 10\), so \(L'(-10,10)\).
For \(M\): \(x=-5 - 3=-8\), \(y = 1\), so \(M'(-8,1)\).

Answer:

\(K'(-10,1)\), \(L'(-10,10)\), \(M'(-8,1)\)